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2021321004120 = 233251129173101741
BaseRepresentation
bin11101011010100000000…
…111101101010001011000
321011020101100002002012100
4131122200013231101120
5231104131134112440
64144325420043400
7266015135022645
oct35324007552130
97136340062170
102021321004120
1170a268013850
122878b4393560
131187c081c442
146db923a2dcc
15378a4bd7230
hex1d6a01ed458

2021321004120 has 384 divisors, whose sum is σ = 7456549089600. Its totient is φ = 470380646400.

The previous prime is 2021321004119. The next prime is 2021321004169. The reversal of 2021321004120 is 214001231202.

It is a happy number.

2021321004120 is a `hidden beast` number, since 20 + 2 + 132 + 100 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021321004093 and 2021321004102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19816450 + ... + 19918190.

Almost surely, 22021321004120 is an apocalyptic number.

2021321004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021321004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728274544800).

2021321004120 is an abundant number, since it is smaller than the sum of its proper divisors (5435228085480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021321004120 is a wasteful number, since it uses less digits than its factorization.

2021321004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101971 (or 101964 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2021321004120 its reverse (214001231202), we get a palindrome (2235322235322).

The spelling of 2021321004120 in words is "two trillion, twenty-one billion, three hundred twenty-one million, four thousand, one hundred twenty".